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On the recursive sequence \(x_{n+1}=(\alpha x_n+\beta x_{n-1})/(A+x_n)\). (English) Zbl 0966.39003
The authors investigate the boundedness, global stability and periodicity of the solutions to the recursive sequence announced in the title, where \(n= 0,1,\dots\) and \(\alpha\), \(\beta\), and \(A\) as well as the initial conditions \(x_0\) and \(x_{-1}\) are nonnegative.

MSC:
39A11 Stability of difference equations (MSC2000)
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